Number, NAPX-H4-CA28 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

770

Question

A cement slab is laid in Yvette's backyard that forms an 8 m × 4 m rectangle.



Yvette is going to create a full perimeter around the outside of her slab using 250 mm × 250 mm plastic tiles.

She will use 50% black tiles costing $6 per tile and 50% white tiles costing $7 per tile.

What is the total cost of the tiles she used?

Worked Solution

Tiles used on length (including extra width)

= (8 ÷ 0.25) + 2

= 34

Tiles used on width

= (4 ÷ 0.25)

= 16

Total tiles used

= 2 × (34 + 16)

= 100

∴\therefore Total cost of tiles

= 50 × 6 + 50 × 7

= $650

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cement slab is laid in Yvette's backyard that forms an 8 m × 4 m rectangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-H4-CA28-SA2.svg 600 indent vpad
Yvette is going to create a full perimeter around the outside of her slab using 250 mm × 250 mm plastic tiles. She will use 50% black tiles costing $6 per tile and 50% white tiles costing $7 per tile. What is the total cost of the tiles she used?
workedSolution
sm_nogap Tiles used on length (including extra width) >> = (8 ÷ 0.25) + 2 >> = 34 sm_nogap Tiles used on width >> = (4 ÷ 0.25) >> = 16 sm_nogap Total tiles used >> = 2 × (34 + 16) >> = 100 sm_nogap $\therefore$ Total cost of tiles >> = 50 × 6 + 50 × 7 >> = {{{prefix0}}}{{{correctAnswer0}}}
correctAnswer0
650
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0650

$

Variant 1

DifficultyLevel

758

Question

Luke builds a wooden deck in his backyard that forms a 12 m × 5 m rectangle.



He is going to create a full perimeter around the outside of his deck using 500 mm × 500 mm stone pavers.

He will use 50% black pavers costing $10 per paver and 50% white pavers costing $8 per paver.

What is the total cost of the pavers he used?

Worked Solution

Pavers used on length (including extra width)

= (12 ÷ 0.5) + 2

= 26

Pavers used on width

= (5 ÷ 0.5)

= 10

Total tiles used

= 2 × (26 + 10)

= 72

∴\therefore Total cost of tiles

= 36 × 10 + 36 × 8

= $648

Question Type

Answer Box

Variables

Variable nameVariable value
question
Luke builds a wooden deck in his backyard that forms a 12 m × 5 m rectangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/06/NAPX-H4-CA28-SA2-v1.svg 600 indent vpad
He is going to create a full perimeter around the outside of his deck using 500 mm × 500 mm stone pavers. He will use 50% black pavers costing $10 per paver and 50% white pavers costing $8 per paver. What is the total cost of the pavers he used?
workedSolution
sm_nogap Pavers used on length (including extra width) >> = (12 ÷ 0.5) + 2 >> = 26 sm_nogap Pavers used on width >> = (5 ÷ 0.5) >> = 10 sm_nogap Total tiles used >> = 2 × (26 + 10) >> = 72 sm_nogap $\therefore$ Total cost of tiles >> = 36 × 10 + 36 × 8 >> = {{{prefix0}}}{{{correctAnswer0}}}
correctAnswer0
648
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0648

$

Variant 2

DifficultyLevel

758

Question

A cement slab is laid in Pandora's backyard that forms an 6 m × 5 m rectangle.



Pandora is going to create a full perimeter around the outside of her slab using 250 mm × 250 mm plastic tiles.

She will use 50% blue tiles costing $11 per tile and 50% white tiles costing $9 per tile.

What is the total cost of the tiles she used?

Worked Solution

Tiles used on length (including extra width)

= (6 ÷ 0.25) + 2

= 26

Tiles used on width

= (5 ÷ 0.25)

= 20

Total tiles used

= 2 × (26 + 20)

= 92

∴\therefore Total cost of tiles

= 46 × 11 + 46 × 9

= $920

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cement slab is laid in Pandora's backyard that forms an 6 m × 5 m rectangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/06/NAPX-H4-CA28-SA2-v2.svg 490 indent vpad
Pandora is going to create a full perimeter around the outside of her slab using 250 mm × 250 mm plastic tiles. She will use 50% blue tiles costing $11 per tile and 50% white tiles costing $9 per tile. What is the total cost of the tiles she used?
workedSolution
sm_nogap Tiles used on length (including extra width) >> = (6 ÷ 0.25) + 2 >> = 26 sm_nogap Tiles used on width >> = (5 ÷ 0.25) >> = 20 sm_nogap Total tiles used >> = 2 × (26 + 20) >> = 92 sm_nogap $\therefore$ Total cost of tiles >> = 46 × 11 + 46 × 9 >> = {{{prefix0}}}{{{correctAnswer0}}}
correctAnswer0
920
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0920

$

Variant 3

DifficultyLevel

766

Question

A cement foundation for a deck is laid in Priscilla's backyard that forms an 6 m × 3 m rectangle.



Priscilla is going to create a full perimeter around the outside of the deck foundation using 750 mm × 750 mm plastic tiles.

She will use 50% teal tiles costing $14 per tile and 50% blue tiles costing $11 per tile.

What is the total cost of the tiles she used?

Worked Solution

Tiles used on length (including extra width)

= (6 ÷ 0.75) + 2

= 10

Tiles used on width

= (3 ÷ 0.75)

= 4

Total tiles used

= 2 × (10 + 4)

= 28

∴\therefore Total cost of tiles

= 14 × 14 + 14 × 11

= $350

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cement foundation for a deck is laid in Priscilla's backyard that forms an 6 m × 3 m rectangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/06/NAPX-H4-CA28-SA2-v3.svg 610 indent vpad
Priscilla is going to create a full perimeter around the outside of the deck foundation using 750 mm × 750 mm plastic tiles. She will use 50% teal tiles costing $14 per tile and 50% blue tiles costing $11 per tile. What is the total cost of the tiles she used?
workedSolution
sm_nogap Tiles used on length (including extra width) >> = (6 ÷ 0.75) + 2 >> = 10 sm_nogap Tiles used on width >> = (3 ÷ 0.75) >> = 4 sm_nogap Total tiles used >> = 2 × (10 + 4) >> = 28 sm_nogap $\therefore$ Total cost of tiles >> = 14 × 14 + 14 × 11 >> = {{{prefix0}}}{{{correctAnswer0}}}
correctAnswer0
350
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0350

$

Variant 4

DifficultyLevel

761

Question

A cement slab is laid in Carmen's backyard that forms an 9 m × 9 m square.



Carmen is going to create a full perimeter around the outside of her slab using 300 mm × 300 mm plastic tiles.

She will use 50% black tiles costing $8 per tile and 50% red tiles costing $10 per tile.

What is the total cost of the tiles she used?

Worked Solution

Tiles used on top and bottom (including extra width)

= (9 ÷ 0.3) + 2

= 32

Tiles used on sides

= (9 ÷ 0.3)

= 30

Total tiles used

= 2 × (32 + 30)

= 124

∴\therefore Total cost of tiles

= 62 × 8 + 62 × 10

= $1116

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cement slab is laid in Carmen's backyard that forms an 9 m × 9 m square.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/06/NAPX-H4-CA28-SA2-v4.svg 500 indent vpad
Carmen is going to create a full perimeter around the outside of her slab using 300 mm × 300 mm plastic tiles. She will use 50% black tiles costing $8 per tile and 50% red tiles costing $10 per tile. What is the total cost of the tiles she used?
workedSolution
sm_nogap Tiles used on top and bottom (including extra width) >> = (9 ÷ 0.3) + 2 >> = 32 sm_nogap Tiles used on sides >> = (9 ÷ 0.3) >> = 30 sm_nogap Total tiles used >> = 2 × (32 + 30) >> = 124 sm_nogap $\therefore$ Total cost of tiles >> = 62 × 8 + 62 × 10 >> = {{{prefix0}}}{{{correctAnswer0}}}
correctAnswer0
1116
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer01116

$

Tags